The cost to run Machine 1 for an hour is $2. During that
hour, Machine 1 produces 240 bolts and 100 nuts. The cost
to run Machine 2 for an hour is $2.40. During that hour,
Machine 2 produces 160 bolts and 160 nuts. With a combined
running time of no more than 30 hours, how long should
each machine run to produce an order of at least 2080 bolts
and 1520 nuts at the minimum operating cost?


this is applications of linear programming

Answer:

Step-by-step explanation:

0056 because 1% is 72 so you know it’s going to have to be less then 72. So to get your percent you divide 40 by 7200 so 40/7200. This will get you .00555556 which I rounded to .0056

Answer:

∠ DAE = 130°

Step-by-step explanation:

ABCD is a parallelogram ( opposite sides are parallel )

The opposite angles of a parallelogram are congruent , then

∠ BAD = ∠ BCD = 65°

∠ ADE = ∠ BAD = 65° ( alternate angles )

Since DE = AE then Δ ADE is isosceles with 2 base angles congruent, that is

∠ DAE = ∠ ADE = 65°

Then

∠ BAE = ∠ BAD + ∠ DAE = 65° + 65° = 130°

Answer:

sorry I don't know the answer to this question

100 - j = j - 40

100 + 40 = j + j

140 = 2j

140/2 = j

70 = j

_____

RainbowSalt2222 ☔

The value of x in the equation, 3x + 2 = 5 is 1.

In order to solve this equation: 3x + 2 = 5, take the following steps:

Combine similar terms together:

3x = 5 - 2

Add the similar terms together

3x = 3

Divide both sides of the equation by 3 in order to make x the subject f the formula

3x / 3 = 3 /3

x = 1

A similar question was answered here: https://brainly.com/question/11787837

Answer:  The correct answer is (3x+1)(x-4)

Step-by-step explanation:

(3x+1)(x-4)

3x(x-4)            +               1(x-4)

3x^2 - 12x       +                  x-4

3x^2 - (12x + x)-4            

3x^2 - 11 x - 4  

Answer:

$14.40 is the discount price.

Step-by-step explanation:

0.2 x 18 = 3.6

18 - 3.6 = 14.4

Answer:

4

Step-by-step explanation:

=> 24 = y(6)

=> y = 24/6 = 4

Answer:

r:its a growth by 51%

Step-by-step explanation:

np

Answer:

5x3 is 15 and 5x4 is 20. 15x 20 is 300…. Soo..

Step-by-step explanation:

Answer:

rotation

Step-by-step explanation:

Answer:

Reflection

Step-by-step explanation:

I think its reflection because if you reflect them across the y axis then the x axis I believe they will be in those positions.

Answer:

6.02 x 10^25

Step-by-step explanation:

6.02 x 10^23 molecules/  mole

In 100 moles

100 = 10^2

(6.02 x 10^23 molecules/mole) * (10^2 moles)

when multiplying numbers with the same base

add the exponents

6.02 x 10^25 molecules

Answer:

-2

Step-by-step explanation:

Answer:

25π

Step-by-step explanation:

C= πd

d=√(24²+7²)=√(576+49)=√625=25

C=25π

Answer:

Step-by-step explanation:

First off, divide 24 by 2 as that would give you the radius of the circle

24cm / 2cm = 12cm

Next, use the formula to calculate the circumference of a circle and plug in radius:

C = 2 x π x r

   = 2 x π x 12cm

   = 75.40cm is the circumference

Answer:

9 = [tex]\frac{n}{54}[/tex] or n ÷ 54

Step-by-step explanation:

nine equals the quotient of a number and 54

       /\

9 = the quotient of a number and 54

             /\

9 =       will be division of a number and 54

                                /\

                    9 = [tex]\frac{n}{54}[/tex] or n ÷ 54

Have a nice day!

    I hope this is what you are looking for, but if not - comment! I will edit and update my answer accordingly. (ノ^∇^)

- Heather

Answer:

No. Correct is 7x - 10y = 6.

Step-by-step explanation:

The slope of the line is (-9-5)/(-12-8) = 7/10

y - 5 = 7/10(x - 8)

10y - 50 = 7(x - 8)

10y - 50 = 7x - 56

7x - 10y = -50 + 56

7x - 10y = 6.

Explanation:

Let's plug in x = 8 and y = 5. This is directly from the ordered pair (8,5).

7x - 10y = 3

7*8 - 10*5 = 3

56 - 50 = 3

6 = 3

We get a false equation at the end, which means the original equation is false when (x,y) = (8,5). Therefore, the point (8,5) is not on the line 7x-10y = 3. Furthermore it means that 7x-10y = 3 is not a good model since Devon wanted the line to pass through both given points.

If you were to plug in (x,y) = (-12,-9), then you would find the same thing happens. For each ordered pair, the left side results in 6. So if Devon were to change that "3" to "6", then it would be a good model as both points would be on the line. In other words, the standard form equation Devon should use is 7x-10y = 6. When solving for y, Devon would get y = (-7/10)x - 3/5

Below is visual confirmation that 7x-10y = 3 is not a good model. Both points are not on the line. The graph was made using GeoGebra.

Answer:

0

Step-by-step explanation:

the x-value doesn't change

Hello! :)

We can use the slope formula:

[tex]\frac{y2-y1}{x2-x1} \\\frac{1-7}{-5-(-5)} \\\frac{-6}{-5+5} \\\frac{-6}{0} \\[/tex]

The slope is undefined. Here's something you should remember:

Hope it helps! :)

Please ask if you have any query.

~An excited gal

[tex]MagicalNature[/tex] here to help

Answer:

Step-by-step explanation:

collecting like terms we have:

5x-2x=-1+42

equating the terms..we have:

3x=41

divide both sides by the Co-efficient of x:

3x\3=42\3

x=39.6

Answer:

What is the justification for each step in the solution of the equation? 5x−4/2=2x−1 Select from the drop-down menus to correctly justify each step. 5x−42=2x−1 Given 5x−4=2(2x−1) Choose. 5x−4=4x−2 Choose. 5x=4x+2 Addition or Subtraction Property of Equality x=2 Choose. Options Addition or subtraction property of equality Multiplication or division property of equality Distributive property of.

__________________________________________________________

5x−4/2=2x−1

Select from the drop-down menus to correctly justify each step.

5x−42=2x−1 Given

5x−4=2(2x−1) Choose.

5x−4=4x−2 Choose.

5x=4x+2 Addition or Subtraction Property of Equality

x=2 Choose.

Options

Addition or subtraction property of equality

Multiplication or division property of equality

Distributive property of equality

Combine like terms

The “/” Is for a fraction

Answer: both are the same

Step-by-step explanation: since  2.70÷ 12= 0.225  and  4.50÷ 20= 0.225

Answer:

I think it is $91.89.

Step-by-step explanation:

1. Take the number and add sales tax by multiplying 0.0725 ( since that is what the percentage is in a decimal form). Then add that to the original and you have what it would be plus sales tax: $60.05.

2. Then you would need to multiply by 0.18. You would get 10.809

3. Next, subtract the 10.809 from $60.05 and the answer is $49.24.

I hope this helps! :)

Answer:

-73

Step-by-step explanation:

Here's the solving step

Answer:

cost of admission for each child was $4.00, and each adult was $25.33

Step-by-step explanation:

When solving questions like these , I like to break down the problem so I understand it better.

Let x ---> cost of the admission for each child

Y ---------> cost of the admission for each adult

9x+3y = 112 ---> equation A

8x + 3y = 108 ---> equation B

Subtract B from A

9x+3y=112

-8x+3y = 108

x = 112-108

x = 4

Find value of y by substituting value of x into equation

9(4)+3y=112

Solve for y

36+3y = 112

3y = 112=36

3y = 76

y = 25.33

Answer:

Step-by-step explanation:

All we need to do is substitute the y and x. This would then look like:

9y + x =

9 × 7 + x =

9 × 7 + 5.

Can you solve it from here?